-
2
-
-
0032262849
-
State space collapse with application to heavy traffic limits for multiclass queueing networks
-
M. Bramson, State space collapse with application to heavy traffic limits for multiclass queueing networks, Queueing Systems 30 (1998) 89-148.
-
(1998)
Queueing Systems
, vol.30
, pp. 89-148
-
-
Bramson, M.1
-
3
-
-
0040750211
-
Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline
-
H. Chen and H. Zhang, Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline, Queueing Systems 23 (1996) 177-195.
-
(1996)
Queueing Systems
, vol.23
, pp. 177-195
-
-
Chen, H.1
Zhang, H.2
-
4
-
-
84872999204
-
A heavy traffic limit theorem for a class of open queueing networks with finite buffers
-
submitted
-
J.G. Dai and W. Dai, A heavy traffic limit theorem for a class of open queueing networks with finite buffers, submitted to Queueing Systems (1997).
-
(1997)
Queueing Systems
-
-
Dai, J.G.1
Dai, W.2
-
5
-
-
0002973242
-
On the convergence of multiclass queueing networks in heavy traffic
-
J.G. Dai and V. Nguyen, On the convergence of multiclass queueing networks in heavy traffic, Ann. Appl. Probab. 4 (1994) 26-42.
-
(1994)
Ann. Appl. Probab.
, vol.4
, pp. 26-42
-
-
Dai, J.G.1
Nguyen, V.2
-
6
-
-
0003124563
-
Nonexistence of Brownian models of certain multiclass queueing networks
-
J.G. Dai and Y. Wang, Nonexistence of Brownian models of certain multiclass queueing networks, Queueing Systems 13 (1993) 41-46.
-
(1993)
Queueing Systems
, vol.13
, pp. 41-46
-
-
Dai, J.G.1
Wang, Y.2
-
7
-
-
0002611604
-
Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons
-
J.G. Dai and R.J. Williams, Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons, Theory Probab. Appl. 40 (1995) 1-40.
-
(1995)
Theory Probab. Appl.
, vol.40
, pp. 1-40
-
-
Dai, J.G.1
Williams, R.J.2
-
8
-
-
0009088867
-
-
Ph.D. dissertation, School of Mathematics, Georgia Institute of Technology, Atlanta, GA
-
W. Dai, Brownian approximations for queueing networks with finite buffers: Modeling, heavy traffic analysis and numerical implementations, Ph.D. dissertation, School of Mathematics, Georgia Institute of Technology, Atlanta, GA (1996).
-
(1996)
Brownian Approximations for Queueing Networks with Finite Buffers: Modeling, Heavy Traffic Analysis and Numerical Implementations
-
-
Dai, W.1
-
9
-
-
0001985427
-
On the Lipschitz continuity of the solution mapping to the Skorokhod problem
-
P. Dupuis and H. Ishii, On the Lipschitz continuity of the solution mapping to the Skorokhod problem, Stochastics and Stochastics Rep. 35 (1991) 31-62.
-
(1991)
Stochastics and Stochastics Rep.
, vol.35
, pp. 31-62
-
-
Dupuis, P.1
Ishii, H.2
-
11
-
-
0000625769
-
The BIGSTEP approach to flow management in stochastic processing networks
-
eds. F.P. Kelly, S. Zachary and I. Ziedins Oxford Univ. Press, Oxford
-
J.M. Harrison, The BIGSTEP approach to flow management in stochastic processing networks, in: Stochastic Networks: Theory and Applications, eds. F.P. Kelly, S. Zachary and I. Ziedins (Oxford Univ. Press, Oxford, 1996) pp. 57-90.
-
(1996)
Stochastic Networks: Theory and Applications
, pp. 57-90
-
-
Harrison, J.M.1
-
12
-
-
0000585232
-
Reflected Brownian motion on an orthant
-
J.M. Harrison and M.I. Reiman, Reflected Brownian motion on an orthant, Ann. Probab. 9 (1981) 302-308.
-
(1981)
Ann. Probab.
, vol.9
, pp. 302-308
-
-
Harrison, J.M.1
Reiman, M.I.2
-
13
-
-
0001109907
-
Scheduling networks of queues: Heavy traffic analysis of a simple open network
-
J.M. Harrison and L.M. Wein, Scheduling networks of queues: Heavy traffic analysis of a simple open network, Queueing Systems 5 (1989) 265-280.
-
(1989)
Queueing Systems
, vol.5
, pp. 265-280
-
-
Harrison, J.M.1
Wein, L.M.2
-
14
-
-
0002415784
-
Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling
-
F.P. Kelly and C.N. Laws, Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling, Queueing Systems 13 (1993) 47-86.
-
(1993)
Queueing Systems
, vol.13
, pp. 47-86
-
-
Kelly, F.P.1
Laws, C.N.2
-
15
-
-
0009164262
-
-
Ph.D. dissertation, Department of Mathematics, University of Wisconsin, Madison, WI
-
D.P. Johnson, Diffusion approximations for optimal filtering of jump processes and for queueing networks, Ph.D. dissertation, Department of Mathematics, University of Wisconsin, Madison, WI (1983).
-
(1983)
Diffusion Approximations for Optimal Filtering of Jump Processes and for Queueing Networks
-
-
Johnson, D.P.1
-
17
-
-
0002816593
-
Diffusion approximations for networks of queues with multiple customer types
-
W.P. Peterson, Diffusion approximations for networks of queues with multiple customer types, Math. Oper. Res. 9 (1991) 90-118.
-
(1991)
Math. Oper. Res.
, vol.9
, pp. 90-118
-
-
Peterson, W.P.1
-
18
-
-
0021481522
-
Open queueing networks in heavy traffic
-
M.I. Reiman, Open queueing networks in heavy traffic, Math. Oper. Res. 9 (1984) 441-458.
-
(1984)
Math. Oper. Res.
, vol.9
, pp. 441-458
-
-
Reiman, M.I.1
-
19
-
-
0002800360
-
A boundary property of semimartingale reflecting Brownian motions
-
M.I. Reiman and R.J. Williams, A boundary property of semimartingale reflecting Brownian motions, Probab. Theory Related Fields 77 (1988) 87-97, and 80 (1989) 633.
-
(1988)
Probab. Theory Related Fields
, vol.77
, pp. 87-97
-
-
Reiman, M.I.1
Williams, R.J.2
-
20
-
-
0002800360
-
-
M.I. Reiman and R.J. Williams, A boundary property of semimartingale reflecting Brownian motions, Probab. Theory Related Fields 77 (1988) 87-97, and 80 (1989) 633.
-
(1989)
Probab. Theory Related Fields
, vol.80
, pp. 633
-
-
-
21
-
-
0001380311
-
Limit theorems for stochastic processes
-
A.V. Skorokhod, Limit theorems for stochastic processes, Theory Probab. Appl. 1 (1956) 261-290.
-
(1956)
Theory Probab. Appl.
, vol.1
, pp. 261-290
-
-
Skorokhod, A.V.1
-
24
-
-
21144473462
-
Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant
-
L.M. Taylor and R.J. Williams, Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant, Probab. Theory Related Fields 96 (1993) 283-317.
-
(1993)
Probab. Theory Related Fields
, vol.96
, pp. 283-317
-
-
Taylor, L.M.1
Williams, R.J.2
-
25
-
-
0027644551
-
Large fluctuations in a deterministic multiclass network of queues
-
W. Whitt, Large fluctuations in a deterministic multiclass network of queues, Managm. Sci. 39 (1993) 1020-1028.
-
(1993)
Managm. Sci.
, vol.39
, pp. 1020-1028
-
-
Whitt, W.1
-
26
-
-
0002248871
-
On the approximation of queueing networks in heavy traffic
-
eds. F.P. Kelly, S. Zachary and I. Ziedins Oxford Univ. Press, Oxford
-
R.J. Williams, On the approximation of queueing networks in heavy traffic, in: Stochastic Networks: Theory and Applications, eds. F.P. Kelly, S. Zachary and I. Ziedins (Oxford Univ. Press, Oxford, 1996) pp. 35-56.
-
(1996)
Stochastic Networks: Theory and Applications
, pp. 35-56
-
-
Williams, R.J.1
-
27
-
-
0032262848
-
Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
-
R.J. Williams, Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse, Queueing Systems 30 (1998) 27-88.
-
(1998)
Queueing Systems
, vol.30
, pp. 27-88
-
-
Williams, R.J.1
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